{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T10:53:54Z","timestamp":1761648834681,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"23","license":[{"start":{"date-parts":[[2020,11,30]],"date-time":"2020-11-30T00:00:00Z","timestamp":1606694400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["Grant No. 61771446"],"award-info":[{"award-number":["Grant No. 61771446"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Microwave Staring Correlated Imaging (MSCI) is a newly proposed computational high-resolution imaging technique. The imaging performance of MSCI with the existence of modeling errors depends on the properties of the imaging matrix and the relative perturbation error resulted from existing errors. In conventional transient-radiation-fields-based MSCI, which is commonly accomplished by utilizing random frequency-hopping (FH) waveforms, the multiple transmitters should be controlled individually and simultaneously. System complexity and control difficulty are hence increased, and various types of modeling errors are introduced as well. The computation accuracy of radiation fields is heavily worsened by the modeling errors, and the transient effect makes it hard to take direct and high-precision measurements of the radiation fields and calibrate the modeling errors with the measuring result. To simplify the system complexity and reduce error sources, in this paper, steady-radiation-fields-sequence-based MSCI (SRFS-MSCI) method is proposed. The multiple transmitters are excited with coherent signals at the same observation moment, with the signal frequency varying in the whole frequency band during the imaging process. By elaborately designing the array configuration and the amplitude and phase sequences of the coherent transmitters, the SRFS-MSCI is thus implemented. Comparing the system architecture of the proposed SRFS-MSCI with the conventional random FH-based MSCI, it can be found that the proposed method significantly reduces the number of baseband modules and simplifies the system architecture and control logic, which contributes to reducing error sources such as baseband synchronization errors and decreasing deterioration caused by error cascade. To further optimize the design parameters in the proposed SRFS-MSCI system, the Simulated Annealing (SA) algorithm is utilized to optimize the amplitude sequences, the phase sequences, and the antenna positions individually and jointly. Numerical imaging experiments and real-world imaging experiment demonstrate the effectiveness of the proposed SRFS-MSCI method that recognizable high-resolution recovery results are obtained with simplified system structure and optimized system parameters.<\/jats:p>","DOI":"10.3390\/s20236859","type":"journal-article","created":{"date-parts":[[2020,11,30]],"date-time":"2020-11-30T10:26:12Z","timestamp":1606731972000},"page":"6859","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Microwave Staring Correlated Imaging Method Based on Steady Radiation Fields Sequence"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5201-1196","authenticated-orcid":false,"given":"Jianlin","family":"Zhang","sequence":"first","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9671-5670","authenticated-orcid":false,"given":"Bo","family":"Yuan","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zheng","family":"Jiang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1697-7329","authenticated-orcid":false,"given":"Yuanyue","family":"Guo","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dongjin","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Electromagnetic Space Information, Chinese Academy of Sciences, University of Science and Technology of China, Hefei 230026, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1580","DOI":"10.1109\/LGRS.2019.2904520","article-title":"An improved SAR imaging method based on nonconvex regularization and convex optimization","volume":"16","author":"Wei","year":"2019","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1109\/JMMCT.2019.2953880","article-title":"An Efficient Method on ISAR Image Reconstruction via Norm Regularization","volume":"4","author":"Wu","year":"2019","journal-title":"IEEE J. Multiscale Multiphys. Comput. Tech."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1109\/TAES.2017.2756498","article-title":"FDA-MIMO radar range-angle estimation: CRLB, MSE, and resolution analysis","volume":"54","author":"Xiong","year":"2017","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Fedeli, A., Pastorino, M., Ponti, C., Randazzo, A., and Schettini, G. (2020). Through-the-Wall Microwave Imaging: Forward and Inverse Scattering Modeling. Sensors, 20.","DOI":"10.3390\/s20102865"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"40057","DOI":"10.1109\/ACCESS.2020.2976769","article-title":"Through-the-Wall Image Reconstruction via Reweighted Total Variation and Prior Information in Radio Tomographic Imaging","volume":"8","author":"Guo","year":"2020","journal-title":"IEEE Access"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/MMM.2016.2589198","article-title":"Improving Radar\u2019s Spatial Recognition: A Radar Scanning Method Based on Microwave Spatial Spectral Illumination","volume":"17","author":"Mizrahi","year":"2016","journal-title":"IEEE Microw. Mag."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1002\/mop.29687","article-title":"Frequency multiplexing spatial super-resolved sensing for RADAR applications","volume":"58","author":"Mizrahi","year":"2016","journal-title":"Microw. Opt. Technol. Lett."},{"key":"ref_8","unstructured":"He, X., Liu, B., Chai, S., and Wang, D. (2013, January 23\u201327). A novel approach of high spatial-resolution microwave staring imaging. Proceedings of the 2013 Asia-Pacific Conference on Synthetic Aperture Radar (APSAR), Tsukuba, Japan."},{"key":"ref_9","first-page":"2261","article-title":"Radar coincidence imaging: An instantaneous imaging technique with stochastic signals","volume":"52","author":"Li","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"R3429","DOI":"10.1103\/PhysRevA.52.R3429","article-title":"Optical imaging by means of two-photon quantum entanglement","volume":"52","author":"Pittman","year":"1995","journal-title":"Phys. Rev. A"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"261109","DOI":"10.1063\/1.2945642","article-title":"Longitudinal coherence in thermal ghost imaging","volume":"92","author":"Ferri","year":"2008","journal-title":"Appl. Phys. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Zhou, X., Wang, H., Cheng, Y., and Qin, Y. (2016). Off-grid radar coincidence imaging based on variational sparse Bayesian learning. Math. Probl. Eng., 2016.","DOI":"10.1155\/2016\/1782178"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1049\/iet-rsn.2015.0632","article-title":"Radar coincidence imaging by exploiting the continuity of extended target","volume":"11","author":"Zhou","year":"2016","journal-title":"IET Radar Sonar Navig."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Wang, G., Yuan, B., and Lu, G. (2018, January 11\u201314). Microwave staring correlated imaging via the combination of nonconvex low-rank and total variation regularization. Proceedings of the Tenth International Conference on Digital Image Processing (ICDIP 2018), Shanghai, China.","DOI":"10.1117\/12.2502940"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1109\/JSTSP.2016.2615275","article-title":"Radar coincidence imaging with stochastic frequency modulated array","volume":"11","author":"Cheng","year":"2016","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Jiang, Z., Guo, Y., Deng, J., Chen, W., and Wang, D. (2019). Microwave Staring Correlated Imaging Based on Unsteady Aerostat Platform. Sensors, 19.","DOI":"10.3390\/s19122825"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2528\/PIERM20061802","article-title":"Microwave Staring Correlated Imaging Based on Quasi-Stationary Platform with Motion Measurement Errors","volume":"97","author":"Jiang","year":"2020","journal-title":"Prog. Electromagn. Res."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"074013","DOI":"10.1088\/0957-0233\/24\/7\/074013","article-title":"A novel super-resolution imaging method based on stochastic radiation radar array","volume":"24","author":"Guo","year":"2013","journal-title":"Meas. Sci. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1239","DOI":"10.1109\/LAWP.2015.2399977","article-title":"Radar coincidence imaging with random microwave source","volume":"14","author":"Zhu","year":"2015","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Guo, Y., Wang, D., He, X., and Liu, B. (2012, January 18\u201320). Super-resolution staring imaging radar based on stochastic radiation fields. Proceedings of the 2012 IEEE MTT-S International Microwave Workshop Series on Millimeter Wave Wireless Technology and Applications, Nanjing, China.","DOI":"10.1109\/IMWS2.2012.6338171"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Zhou, X., Wang, H., Cheng, Y., Qin, Y., and Chen, H. (2016). Radar coincidence imaging for off-grid target using frequency-hopping waveforms. Int. J. Antennas Propag., 2016.","DOI":"10.1155\/2016\/8523143"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Zha, G., Wang, H., Yang, Z., Cheng, Y., and Qin, Y. (2015, January 19\u201322). Angular resolution limits for coincidence imaging radar based on correlation theory. Proceedings of the 2015 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), Ningbo, China.","DOI":"10.1109\/ICSPCC.2015.7338818"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Tian, C., Jiang, Z., Chen, W., and Wang, D. (2017). Adaptive microwave staring correlated imaging for targets appearing in discrete clusters. Sensors, 17.","DOI":"10.3390\/s17102409"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Zhou, X., Wang, H., Cheng, Y., Qin, Y., and Chen, H. (2017). Waveform Analysis and Optimization for Radar Coincidence Imaging with Modeling Error. Math. Probl. Eng., 2017.","DOI":"10.1155\/2017\/7253179"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"195","DOI":"10.2528\/PIERM17092902","article-title":"Random Radiation Source Optimization Method for Microwave Staring Correlated Imaging Based on Temporal-Spatial Relative Distribution Entropy","volume":"63","author":"Meng","year":"2018","journal-title":"Prog. Electromagn. Res."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Yuan, B., Guo, Y., Chen, W., and Wang, D. (2019). A Novel Microwave Staring Correlated Radar Imaging Method Based on Bi-Static Radar System. Sensors, 19.","DOI":"10.3390\/s19040879"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"3762","DOI":"10.1109\/TGRS.2018.2810145","article-title":"Resolution analysis of spatial modulation coincidence imaging based on reflective surface","volume":"56","author":"He","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"139","DOI":"10.2528\/PIERM17042003","article-title":"Orthogonal radiation field construction for microwave staring correlated imaging","volume":"57","author":"Liu","year":"2017","journal-title":"Prog. Electromagn. Res."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"27611","DOI":"10.3390\/s151127611","article-title":"Sparse auto-calibration for radar coincidence imaging with gain-phase errors","volume":"15","author":"Zhou","year":"2015","journal-title":"Sensors"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"253","DOI":"10.2528\/PIERC20070104","article-title":"Sparse Self-Calibration for Microwave Staring Correlated Imaging with Random Phase Errors","volume":"105","author":"Yuan","year":"2020","journal-title":"Prog. Electromagn. Res."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Yuan, B., Jiang, Z., Zhang, J., Guo, Y., and Wang, D. (2020). A Self-Calibration Imaging Method for Microwave Staring Correlated Imaging Radar with Time Synchronization Errors. IEEE Sens. J.","DOI":"10.2528\/PIERC20070104"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Tian, C., Yuan, B., and Wang, D. (2018, January 23\u201327). Calibration of gain-phase and synchronization errors for microwave staring correlated imaging with frequency-hopping waveforms. Proceedings of the 2018 IEEE Radar Conference (RadarConf18), Oklahoma City, OK, USA.","DOI":"10.1109\/RADAR.2018.8378756"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Zhang, J., Yuan, B., Jiang, Z., Guo, Y., and Wang, D. (2020). Microwave Staring Correlated Imaging Based on Time-Division Observation and Digital Waveform Synthesis. Electronics, 9.","DOI":"10.3390\/electronics9101627"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1126\/science.220.4598.671","article-title":"Optimization by simulated annealing","volume":"220","author":"Kirkpatrick","year":"1983","journal-title":"Science"},{"key":"ref_35","first-page":"260","article-title":"Truncated singular value decomposition for through-the-wall microwave imaging application","volume":"14","author":"Akduman","year":"2019","journal-title":"IET Microw. Antennas Propag."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"S165","DOI":"10.1088\/0266-5611\/19\/6\/059","article-title":"Edge-preserving and scale-dependent properties of total variation regularization","volume":"19","author":"Strong","year":"2003","journal-title":"Inverse Probl."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1007\/s10589-013-9576-1","article-title":"An efficient augmented Lagrangian method with applications to total variation minimization","volume":"56","author":"Li","year":"2013","journal-title":"Comput. Optim. Appl."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/23\/6859\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:39:46Z","timestamp":1760179186000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/23\/6859"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,30]]},"references-count":37,"journal-issue":{"issue":"23","published-online":{"date-parts":[[2020,12]]}},"alternative-id":["s20236859"],"URL":"https:\/\/doi.org\/10.3390\/s20236859","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,11,30]]}}}